Dielectric formalism of the 2D uniform electron gas at finite temperatures
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917547978260480 |
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| author | Kalkavouras, Fotios Dornheim, Tobias Hamann, Paul Tolias, Panagiotis |
| author_facet | Kalkavouras, Fotios Dornheim, Tobias Hamann, Paul Tolias, Panagiotis |
| contents | We present a comprehensive analysis of the two-dimensional uniform electron gas (2D-UEG or more commonly 2DEG) at finite temperature, spanning a broad range of densities / coupling strengths ($0.01\le{r}_s\le20$) and temperatures / degeneracy parameters ($0.01\leΘ= k_B T/E_F \le 10$). Within the self-consistent dielectric formalism, we construct two-dimensional versions of the Singwi-Tosi-Land-Sjölander (STLS) and hypernetted-chain (HNC) approximation based schemes. We benchmark the accuracy of the STLS and the HNC schemes against new state-of-the-art path-integral Monte Carlo data. We also report structural and thermodynamic properties across the full $(r_s,Θ)$ phase diagram domain studied, identify regimes in which these schemes remain quantitatively reliable, and provide an accurate parametrization of the exchange--correlation free energy of the finite-temperature 2DEG. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_14989 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dielectric formalism of the 2D uniform electron gas at finite temperatures Kalkavouras, Fotios Dornheim, Tobias Hamann, Paul Tolias, Panagiotis Strongly Correlated Electrons Quantum Gases Plasma Physics We present a comprehensive analysis of the two-dimensional uniform electron gas (2D-UEG or more commonly 2DEG) at finite temperature, spanning a broad range of densities / coupling strengths ($0.01\le{r}_s\le20$) and temperatures / degeneracy parameters ($0.01\leΘ= k_B T/E_F \le 10$). Within the self-consistent dielectric formalism, we construct two-dimensional versions of the Singwi-Tosi-Land-Sjölander (STLS) and hypernetted-chain (HNC) approximation based schemes. We benchmark the accuracy of the STLS and the HNC schemes against new state-of-the-art path-integral Monte Carlo data. We also report structural and thermodynamic properties across the full $(r_s,Θ)$ phase diagram domain studied, identify regimes in which these schemes remain quantitatively reliable, and provide an accurate parametrization of the exchange--correlation free energy of the finite-temperature 2DEG. |
| title | Dielectric formalism of the 2D uniform electron gas at finite temperatures |
| topic | Strongly Correlated Electrons Quantum Gases Plasma Physics |
| url | https://arxiv.org/abs/2601.14989 |